Operators on weighted Bergman spaces \((0 < p \leqslant 1)\) and applications

DOI10.1215/S0012-7094-92-06614-2zbMath0815.47035OpenAlexW2031232407MaRDI QIDQ1196393

Oscar Blasco

Publication date: 14 December 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06614-2

zbMATH Keywords

boundednessmultipliersCarleson measurescomposition operatorsHankel operatorsdual spacesoperators acting on weighted Bergman spaces

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38)

Related Items (15)

A new characterization of Bergman-Schatten spaces and a duality result ⋮ Lipschitz-type conditions on homogeneous Banach spaces of analytic functions ⋮ Product-type operators on weak vector valued $\alpha$-Besov spaces ⋮ Closed range composition operators on Besov type spaces ⋮ Some properties of the integration operators on the spaces \(F(p, q, s)\) ⋮ Multipliers on generalized mixed norm sequence spaces ⋮ Some results on mean Lipschitz spaces of analytic functions ⋮ A nested embedding theorem for Hardy-Lorentz spaces with applications to coefficient multiplier problems ⋮ Carleson measures, Riemann-Stieltjes and multiplication operators on a general family of function spaces ⋮ Interpolating sequences for some subsets of analytic Besov type spaces ⋮ Operators and multipliers on weighted Bergman spaces ⋮ Carleson measures and the range of a Cesàro-like operator acting on \(H^\infty\) ⋮ Carleson measures and reproducing kernel thesis in Dirichlet-type spaces ⋮ Bounded and compact multipliers between Bergman and Hardy spaces ⋮ Algebraic and topological properties of the group of isometries on classes of vector valued function spaces

Cites Work

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• Multipliers of \(H^ p\) and BMOA
• Spaces of analytic functions on the disc where the growth of \(M_ p(F,r)\) depends on a weight
• On the action of Hankel and Toeplitz operators on some function spaces
• Hankel operator between weighted Bergman spaces
• Multipliers of the Dirichlet space
• Generalizations of Lipschitz spaces and an application to Hardy spaces and bounded mean oscillation
• Mackey topologies, reproducing kernels, and diagonal maps on the Hardy and Berman spaces
• On multipliers from \(H^ p\) to \(l^ q\), \(0<q<p<1\)
• Weighted Lipschitz spaces and their analytic characterizations
• Some properties of fractional integrals. II
• Coefficient multipliers of \(H^ p\) and \(B^ p\) spaces
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Lipschitz spaces of functions on the circle and the disc
• Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces
• Analytic functions in non-locally convex spaces and applications
• Carleson Measures and Multipliers of Dirichlet-Type Spaces
• Hankel Operators on Weighted Bergman Spaces
• Composition Operators which Improve Integrability
• A Carleson Measure Theorem for Bergman Spaces
• Coefficient Multipliers of Bloch Functions
• Linear functionals on some weighted Bergman spaces
• Properties of H p (0 < p < 1) and Its Containing Banach Space
• Extension of a theorem of Carleson

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